So, how far is the car from where it was at t = 0 is 40 m
<h3>Velocity of the car</h3>
Since the location x of the car in meters is given by the function x = 30t - 5t² where t is in seconds, we need to find the time at which its velocity is 10 m/s in the negative direction by differentiating x with respect to t to find its velocity, v.
So, v = dx/dt
= d(30t - 5t²)/dt
= d30t/dt - d5t²/dt
= 30 - 10t
When v is 10 m/s in the negative direction, v = -10 m/s.
So, v = 30 - 10t
-10 = 30 - 10t
-10 - 30 = -10t
-40 = -10t
t = -40/-10
t = 4 s
<h3>The distance at 4 s when its velocity is -10 m/s</h3>
Since at t = 4 s, its velocity is -10 m/s and x = 30t - 5t² is the car's location. The car's distance from t = 0 after its velocity is -10 m/s is
x(4) - x(0) = 30(4) - 5(4)² - [30(0) - 5(0)²]
= 120 - 5(16) - [0 - 0]
= 120 - 80 - 0
= 40 m
So, how far is the car from where it was at t = 0 is 40 m
Learn more about distance of car here:
brainly.com/question/17097458
Answer:
Its true i read it all every thing was correct but i will explain you
Step-by-step explanation:
Well
Pete marble goes 1.5 feet per sec
Stphan marble 2.25 feet per sec
Sooo
As you see stephano marble will reach 6 foot mark sooner as its faster and its speed is higher
Hope this <u>helped</u><u> </u><u>you</u>
<em><u>Your</u></em><em><u> </u></em><em><u>welcome</u></em><em><u> </u></em>
<h3>
<em><u>Your</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>clever</u></em><em><u> </u></em><em><u>(</u></em><em><u>girl</u></em><em><u> </u></em><em><u>/</u></em><em><u> </u></em><em><u>boy</u></em><em><u>)</u></em><u> </u></h3>
<em>( 5 - 2i ) ( 4 - i ) </em><em>18 - 13i</em>
<em>( 2 - 5i ) ( 1 - 4i ) </em><em>-18 - 13i</em>
<em>( 1 - 4i ) ( 5 - 2i ) </em><em>-3 - 22i</em>
<em>( 4 + i ) ( 2 - 5i ) </em><em> 13 - 18i</em>
